The linear magnification produced by a spherical mirror is -1/5. Analysing this value state the (i) type of spherical mirror and (ii) the position of the object with to the pole of the mirror. Draw ray diagram
to justify your answer.
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Answer
Using Pythagoras theorem in right triangle ABC, we obtain
AC
2
=AB
2
+BC
2
⇒(5+2)
2
+(2−t)
2
={(5−2)
2
+(2+2)
2
}+{(2+2)
2
+(−2−t)
2
}
⇒49+(4−4t+t
2
)=(9+16)+(16+4+4t+t
2
)
⇒t
2
−4t+53=t
2
+4t×45
⇒−8t=−8
⇒t=1
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